Macroscopic magnetization in uniform magnetic fields

TL;DR

This paper introduces a new gauge-invariant formulation of the magnetization vector in quantum systems under uniform magnetic fields, linking it to electronic current and Berry curvature, with applications in computational modeling.

Contribution

It presents a novel gauge-invariant expression for magnetization involving Berry curvature and current, enhancing understanding of quantum magnetization.

Findings

Derived a gauge-invariant divergence form of magnetization

Expressed magnetization as a function of electronic current and Berry curvature

Applied Fourier analysis to magnetization for computational modeling

Abstract

The finding of a new formulation of the magnetization vector of a quantum system interacting with a static uniform magnetic field\cite{Selenu1} is reported. There a gauge invariant form of its divergence is shown being expressed as a function of the electronic current per state coupled with the Berry curvature of the quantum system. A Fourier analysis of the magnetization vector and magnetization density is reported as an application of the presented formula it could be applied in the context of computational modelling\cite{Martin} of quantum matter.